To get a salvage title you need an MV-907A form and the old title I believe, as well as receipts for any parts you bought to repair it. If you used a parts car you need paperwork for that too.
In NY you need to go to the dmv and fill out some paperwork, pay around $200 and theyll schedule an appointment for a theft inspection where all vin#'s on parts and all paperwork for parts will be checked. Sometimes the inspectors can be real assholes about it but other times its ok. Sometimes it takes a few months to get an inspection.
I went thru it a few years ago with a rebuilt wreck and my friend sells alot of rebuilt cars and Ive gone to the inspections with him several times. I turned in my paperwork in October and got an appointment in February.
Ive heard that in VT all you need to do is go to a sheriff’s office and have a sheriff check the car out and he’ll sign off on it. You do need a VT address or atleast a PO box though.